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Finding the Third Proportional to 171,062 and 375,172

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Solution

The third proportional to 171,062 and 375,172 is: 822,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,062 : 375,172 = 375,172 : x
  2. Step 2: Convert to fraction form
    171,062/375,172 = 375,172/x
  3. Step 3: Cross multiply
    171,062x = 375,172 × 375,172
  4. Step 4: Simplify right side
    171,062x = 140,754,029,584
  5. Step 5: Solve for x
    x = 140,754,029,584/171,062
  6. Step 6: Final answer
    x = 822,824.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.